14 citations · 73 across the 25 of their papers we have counts for
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cs.CR2017
qDSA: Small and Secure Digital Signatures with Curve-based Diffie--Hellman Key Pairs
Joost Renes, Benjamin Smith
qDSA is a high-speed, high-security signature scheme that facilitates implementations with a very small memory footprint, a crucial requirement for embedded systems and IoT devices…
cs.CR2017
Montgomery curves and their arithmetic
Craig Costello, Benjamin Smith
Three decades ago, Montgomery introduced a new elliptic curve model for use in Lenstra's ECM factorization algorithm. Since then, his curves and the algorithms associated with them…
math.NT2017★ 1 cited
Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication
Sean Ballentine, Aurore Guillevic, Elisa Lorenzo García +4
Schoof's classic algorithm allows point-counting for elliptic curves over finite fields in polynomial time. This algorithm was subsequently improved by Atkin, using factorizations…